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Morphology and plasmonic properties of self-organized arrays of ...

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102 CHAPTER 6. COMPOSITE MEDIA BASED ON AU/LIF ARRAYS0.250.20T modeL mode0.350.300.25T modeL modeR S0.15R S0.200.150.100.10400 600 800 1000a. [nm]b.400600 [nm]8001000Figure 6.5: Experimental (empty circles) <strong>and</strong> computed (continuous lines) R S spectra,with plane <strong>of</strong> incidence parallel (black curves) <strong>and</strong> perpendicular (red curves) the LiFridges. Left panel: 2D <strong>arrays</strong> <strong>of</strong> gold NPs on nanopatterned LiF(110) (Λ = 35 nm,t Au ≈ 5 nm, AFM data in fig. 6.2(a, b)). Right panel: same system after the deposition<strong>of</strong> a monolayer <strong>of</strong> Fe 3 O 4 /OA NPs (AFM data in fig. 6.2(c)).monolayer <strong>of</strong> deposited NPs, the first one was to increase the thickness <strong>of</strong> the effectivelayer by an amount equal to the mean diameter <strong>of</strong> the NPs, i.e. ≈ 17 nm. The secondcorrection was to rewrite the dielectric constant ε h <strong>of</strong> the host including the contribution<strong>of</strong> the magnetite NPs; we considered the gold NPs embedded in an effective host composedat 50% by LiF (with dielectric constant ε s ) <strong>and</strong> at 50% by a mixing <strong>of</strong> air <strong>and</strong> bulkmagnetite (with dielectric constant ε Fe3O 4, assuming that the dielectric constant <strong>of</strong> Fe 3 O 4nanoparticles does not differ from the bulk):ε h = 1 2 ε s + 1 2 (f ε Fe 3O 4+(1−f)ε air ) (6.1)where ε air = 1 <strong>and</strong> f is the magnetite filling factor. The latter is calculated by simplegeometrical considerations: assuming the Fe 3 O 4 /OA nanoparticles arranged on a squarelattice, <strong>and</strong> in contact with one another, we find one particle per volume <strong>of</strong> d 3 hydro (d hydrois the hydrodynamic size), while the volume <strong>of</strong> the magnetite core is 4π/3(d core /2) 3 (d coreis the size <strong>of</strong> the NPs core); the filling factor f is given by the ratio <strong>of</strong> the two volumes<strong>and</strong>, substituting the values obtained from TEM <strong>and</strong> DLS measurements, results f ≈ 0.3.The calculated R S spectra for the Au NPs array after the Fe 3 O 4 /OA deposition arereported in fig. 6.5(b). Despite the simplifications in treating the magnetite NPs layer,which probably determined the overestimation <strong>of</strong> the absolute values <strong>of</strong> reflectivity, thepositions <strong>and</strong> widths <strong>of</strong> the LSPs were reproduced in good agreement with the experiments,resulting <strong>of</strong> λ ∗ L = 645 nm <strong>and</strong> Γ∗ L = 223 nm for the L mode <strong>and</strong> λ∗ T = 576 nm<strong>and</strong> Γ ∗ T = 145 nm for the T mode. In particular, this also supports the consideration thatonly one monolayer <strong>of</strong> Fe 3 O 4 /OA NPs has been deposited.Inconclusion,wehaveshownthatthe<strong>self</strong>-<strong>organized</strong>Au/LiFsystemscouldbefruitfullyexploited as templates for the fabrication <strong>of</strong> more complex composite structures, that canatleastpartlyretainthemorphologicalcharacteristics<strong>of</strong>theoriginalsystem<strong>and</strong>itsopticalresponse, adding to these novel functionalities, like magnetic response in this specific case.

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